Abstract
AbstractWe survey some recent results on vacuum free boundary problems in three‐dimensional ideal compressible magnetohydrodynamics, restate the main theorems in our works (Secchi and Trakhinin, Nonlinearity 27(1) (2014) 105–169; Trakhinin and Wang, Arch. Ration. Mech. Anal. 239(2) (2021) 1131–1176; Trakhinin and Wang, Math. Ann. 383(1–2) (2022) 761–808; Trakhinin and Wang, SIAM J. Math. Anal. 54(6) (2022) 5888–5921), and provide an alternative proof for the linear well‐posedness of the full plasma–vacuum interface problem under the noncollinearity condition.
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